To get a sense of how our HDNNP compares to other widely used potentials, we have run simulations using the Embedded Atom Model (EAM) [1]} and Modified Embedded Atom Model (MEAM) [2]} potentials both known as performing well in the liquid and solid states (see Ref. [3]} and references therein).
These simulations were performed identically to the ones used to obtain the pair-correlation functions for our HDNNP, and for the same set of temperatures and densities (see the main text). Figure REF  shows g(r) obtained from these simulations, along with the corresponding AIMD ones. For the sake of clarity, the results of the HDNN potential are not shown since they match very closely the AIMD curves. It is worth mentioning that above 20 GPa we were not able to achieve MD simulations with the EAM potential. At ambient pressure, both EAM and MEAM reproduce well the AIMD simulations even if noticeable can bee seen. At larger pressures and temperature the agreement worsen showing that the EAM is not transferable while the MEAM still gives reasonable results.
